257150562625 has 16 divisors (see below), whose sum is σ = 350098804224. Its totient is φ = 187018590000.

The previous prime is 257150562607. The next prime is 257150562637. The reversal of 257150562625 is 526265051752.

It is not a de Polignac number, because 257150562625 - 2¹⁷ = 257150431553 is a prime.

It is a super-3 number, since 3×257150562625³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93507921 + ... + 93510670.

It is an arithmetic number, because the mean of its divisors is an integer number (21881175264).

Almost surely, 2^257150562625 is an apocalyptic number.

257150562625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257150562625 is a deficient number, since it is larger than the sum of its proper divisors (92948241599).

257150562625 is a wasteful number, since it uses less digits than its factorization.

257150562625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187018617 (or 187018607 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 46.

The spelling of 257150562625 in words is "two hundred fifty-seven billion, one hundred fifty million, five hundred sixty-two thousand, six hundred twenty-five".